Theorem s1eqd

Description: Equality theorem for a singleton word. (Contributed by Mario Carneiro, 26-Feb-2016)

	Ref	Expression
Hypothesis	s1eqd.1	$$⊢\phi \to A=B$$
Assertion	s1eqd	$$⊢\phi \to ⟨“A”⟩=⟨“B”⟩$$

Proof

Step	Hyp	Ref	Expression
1		s1eqd.1	$$⊢\phi \to A=B$$
2		s1eq	$$⊢A=B\to ⟨“A”⟩=⟨“B”⟩$$
3	1 2	syl	$$⊢\phi \to ⟨“A”⟩=⟨“B”⟩$$